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Finding the Fourth Proportional to 14,358.47, 19,813.41 and 8,069.63

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Solution

The fourth proportional to 14,358.47, 19,813.41 and 8,069.63 is: 11,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.47 : 19,813.41 = 8,069.63 : x
  2. Step 2: Convert to fraction form
    14,358.47/19,813.41 = 8,069.63/x
  3. Step 3: Cross multiply
    14,358.47x = 19,813.41 × 8,069.63
  4. Step 4: Simplify right side
    14,358.47x = 159,886,788.67
  5. Step 5: Solve for x
    x = 159,886,788.67/14,358.47
  6. Step 6: Final answer
    x = 11,135.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.